Calculation Sheet: Design of Padeye

CALCULATION SHEET PROJECT :

DATE :

TOTAL E&P INDONESIE EXTENSION PLATFORM INSTALLATION

SUBJECT :

PAD EYE DECK PLTF.

REV'N. :

A

5/30/2009 14:11 PREP'D. BY

CHECKED BY :

SGT

BT

DESIGN OF PADEYE th

( As per AISC-ASD 9 Edition, AWS D1.1 Table 2.3, GS-STR-103 )

INPUT DATA N/A

Element / Member

N/A

Load Case / Load Comb Allowable Stress Factor

CSF

1.00

Consequence Factor

γC

1.35

Dynamic Amplification Factor

DAF

1.30

Out of Plane Load Factor

γF

0.05

Sling Angle

α

Sling Force from Analysis

These factor =1.0 if already considered in analysis

65 deg 245 kN

P

PADEYE MAIN

PADEYE PLATE

CHEEK

Yield Strength

Fym

Thickness

tm

25.00 mm

Radius

rm

120.00 mm

Total Length

Lm

325.00 mm

Height of Eye

Hm

150.00 mm

355.00 MPa

Edge distance from outer main plate, rm - rc

Fyc

355.00 MPa

tc

16.00 mm

Cc

20.00 mm

STIFFENERS Yield Strength

Fys

Thickness

ts

12.00 mm

Stiffener Spacing to Pin Hole

Ls

112.50 mm

Width of Stiffener

Ws

143.00 mm

Height

Hs

115.00 mm

355.00 MPa

SECTION - A

φSL C2

SHACKLE (By Crosby

Type

Safe Working Load

SWL

35.00 Ton

Pin Diameter

φp

57.00 mm

Inside Width of Shackle Pin

Wp

83.00 mm

Hp

196.50 mm

Shackle inside Height from Pin Axis

1/2 C1

1/2 C1 Wp

SLING -SHACKLE CLEARANCE

WIRE ROPE SLING Type

Hp

SECTION - B

(By Vendor's Name)

Minimum Breaking Strength

BS

96.00 Ton

Sling Diameter

φSL

44.45 mm

WELDING DATA Tensile Strength

Fu

Weld Size for Main Plate to Base

wlm

482.63 MPa

Filename / Date: Pad Eye - Spreader Bar / 5/30/2009

8

mm Refer to table

Limit of fillet weld size : Material Thickness

Min. Weld Size

Max.Weld Size

tp (mm)

amin (mm)

amax (mm)

to 6.35 inclusive

3.18

tp + 1/16 tp

over 6.35 to 12.70

4.76

tp + 1/16 tp

over 12.70 to 19.05

6.35

tp + 1/16 tp

CALCULATION SHEET PROJECT :

DATE :

TOTAL E&P INDONESIE EXTENSION PLATFORM INSTALLATION

SUBJECT :

8

mm

CHECKED BY :

PREP'D. BY

PAD EYE DECK PLTF. wls

Weld Size for Stiffeners to Base

A

REV'N. :

5/30/2009 14:11

BT

SGT 7.94

over 19.05

tp + 1/16 tp

DESIGN RESULT DIMENSION MAIN PLATE Thickness 25.00 mm

Radius

CHEEK PLATE

Length

120.00 mm

325.00 mm

Height

Thickness

150.00 mm

Radius

16.00 mm

PADEYE CLEARANCE Edge distance

100.00 mm

20.00

DIMENSION

Diameter 60.00

Thickness

mm

12.00 mm

Spacing 225.00 mm

Vertical

OK

OK

Main Plate to Base

Stiffener to Base

mm

WELD SIZE

STIFFENER PLATE

PIN HOLE

Horizontal

Width 143.00 mm

Main Plate to Cheeck Plate

Height 115.00 mm

4.00

Stiffener to Main Plate

mm

5.00

mm

8.00

mm

8.00

ANALYSIS RESULT CRITERIA Dimension Check

Stress at Eye

Stress at Base

Weld Size

ALLOWABLE

REMARKS

Hm ≥ rc + 50 mm

150.00 mm

150.00 mm

OK

Main Plate radius

GS-STR-103 5.1.3.1

120.00 mm

106.20 mm

OK

Bearing Stress

AISC J8-1

132.48 MPa

319.50 MPa

OK

Shear Stress

AISC F4-1

Hertz Pressure

GS-STR-103 5.1.3.1

Axial Tension Stress

AISC D1

Combined Stress I.R.

AISC H2-1

Von Mises Stress

AISC H2-1

47.93 MPa

142.00 MPa

OK

697.03 MPa

887.50 MPa

OK

26.02 MPa

213.00 MPa

OK

0.26

OK

14.50 mm

OK

3.83 mm

AWS D1.1Table 2.3

0.56

Stiffener to Main Plate

AWS D1.1Table 2.3

4.06 mm

Filename / Date: Pad Eye - Spreader Bar / 5/30/2009

OK

234.30 MPa

Main Plate to Cheek Plate AISC Table J2.4

This spreadsheet is valid for padeye design that modeled as shown only.

1.00

67.16 MPa

Weld Stress Check I.R. Main Plate & Stiffeners to Base

QUALIFICATIONS : 1.

ACTUAL

Height of eye

1.00 12.75 mm

OK OK

mm

CALCULATION SHEET PROJECT :

DATE :

TOTAL E&P INDONESIE EXTENSION PLATFORM INSTALLATION

SUBJECT :

1.

PAD EYE DECK PLTF.

A

PREP'D. BY

CHECKED BY :

SGT

BT

CALCULATE DESIGN FORCES DUE TO LOAD P

Load design on padeye, Pα

=

P* DAF* γc / CSF 430.41 kN

= =

In-Plane Horizontal Load, Px

Pα cosα 181.90 kN

= =

In-Plane Vertical Load, Pz

Pα sinα 390.09 kN

= =

Out of Plane Horizontal Load, Py

Pz γF

=

2.

REV'N. :

5/30/2009 14:11

19.50 kN

DETERMINE SHACKLE PIN HOLE

Design of pin hole diameter gap depends on Shackle SWL. -

SWL > 200 T

-

SWL < 200 T

Design gap to be used

3.

Pin Hole radius, ro

=

0.5 (φp + gap')

Hole diameter, D0

=

2 r0

gap =

5.00 mm

GS STR 103-5.1.3.1 Rev.01

gap =

3.00 mm

GS STR 103-5.1.3.1 Rev.01

gap' =

3.00 mm

For :

=

30.00 mm

=

60.00 mm

35 Ton Shackle SWL

CHECK FOR MINIMUM MAIN PLATE RADIUS

The radius of the main plate shall not be less than the maximum value of : R1

=

1.25 x D0

R2

=

D0/2 + 3"

Check main plate radius, rm

4.

5.

=

=

75.00

mm

=

106.20

mm

120.00 mm >

106.20

mm

GS STR 103-5.1.3.1 Rev.01

OK

DETERMINE CHEEK PLATE RADIUS

Cheek plate radius, rc

=

Check Hm - rc ≥ 50 mm

=

rm - C c

= 50.00 mm >=

100.00 mm 50.00 mm

OK

DETERMINE MINIMUM CLEARANCE BETWEEN SLING, SHACKLE & PADEYE

5.1. Gap between Shackle inside Width W p and Padeye, C1 : C1'

=

C1

=

Wp

=

8.30 mm

W p - (2 tc + tm)

=

26.00 mm

10%

Assumed for minimum OK

5.2. Vertical Clearance between Sackle inside Height Hp, Sling φSL & Padeye, C2 : C2'

=

C2

=

φSL

=

22.23 mm

Assumed for minimum

Hp - ( rm + φSL )

=

32.05 mm

OK

50%

Filename / Date: Pad Eye - Spreader Bar / 5/30/2009

CALCULATION SHEET PROJECT :

DATE :

TOTAL E&P INDONESIE EXTENSION PLATFORM INSTALLATION

SUBJECT :

6.

PAD EYE DECK PLTF.

A

REV'N. :

5/30/2009 14:11 PREP'D. BY

CHECKED BY :

SGT

BT

CHECK FOR STRESSES AT EYE LOCATION

6.1. Calculate Bearing Stress : Bearing area, ABR

=

φp (tm + 2 tc)

=

3249.00 mm2

Bearing stress, fBR

=

Pα / ABR

=

132.48 MPa

Bearing stress allowable, FBR

=

0.90 Fy

=

319.50 MPa

Interaction Ratio, I.R.

=

fBR / FBR

=

=

2 [ t m ( r m - r 0 ) + 2 t c( r c - r 0 ) ]

=

8980.00 mm2

0.41

<

AISC-ASD Equation (J8-1) 1.00

OK

6.2. Calculate Shear Stress : Shear area, Av

Shear stress, fv

=

Pα / Av

=

47.93 MPa

Shear stress allowable, Fv

=

0.40 Fy

=

142.00 MPa

Interaction Ratio, I.R.

=

fv / F v

=

=

2 r0

=

60.00 mm

=

φp

=

57.00 mm

Contact length, L

=

tm + 2 t c

=

57.00 mm

Load per contact length, P

=

Pα / L

=

7551.12 N/mm

0.34

<

AISC-ASD Equation (F4-1) 1.00

OK

6.3. Calculate Hertz Pressure : Pin Hole diameter, D1 Shackle Pin diameter, D2

Modulus of elasticity, E KD

7.

210000.00 N/mm2

= =

(D1 D2) / (D1 - D2)

1140.00

=

1/2

Roark's Formulas Table 14.1

Actual Hertz Pressure, fHRZ

=

0.591 (P E / KD)

=

697.03 MPa

Allowable Hertz Press., FHRZ

=

2.50 Fy

=

887.50 MPa

Interaction Ratio, I.R.

=

fHRZ / FHRZ

=

0.79

14989.00 mm2

<

Roark's Formulas Table 14.1 GS STR 103-5.1.3.1 Rev.01 1.00

OK

CHECK FOR STRESSES AT BASE LOCATION

7.1. Calculate Axial-Tension Stress : =

(tm Lm)+ 4 ( ts W s )

=

Tension stress, fa

=

Pz / AT

=

26.02 MPa

Tension stress allowable, Fa

=

0.60 Fy

=

213.00 MPa

Tension area, AT

AISC-ASD D1

7.2. Calculate Combined Stress Check at point 1: Moment in-plane, MIPB Moment of Inertia, Iy

= = =

Px Hm

27285106.63 Nmm

= 3

(1/12 tm Lm ) + 4 (1/12

3 W s ts )

2

+ 4 (W s ts Ls )

4

158471795.1 mm

Bending stress, fIPB1

=

(MIPB / Iy) Ls

=

Moment out-of-plane, MOPB

=

Py Hm

=

Moment of inertia, Ix

=

(1/12 Lm tm3) + 4 (1/12 ts W s3) + 4 [ ts W s( tm/2 + W s/2 ) 2 ]

= Bending stress, fOPB1

=

2

19.37 MPa 2925655 Nmm

1

60552389.08 mm4 ( MOPB / Ix ) [ 0.5 ( t m + 2 W s ) ]

=

Filename / Date: Pad Eye - Spreader Bar / 5/30/2009

7.51 MPa

Stress Check Location

CALCULATION SHEET PROJECT :

DATE :

TOTAL E&P INDONESIE EXTENSION PLATFORM INSTALLATION

SUBJECT :

Bending stress allowable, FB I.R.1

=

PAD EYE DECK PLTF.

=

0.60 Fy

(fa / Fa) + (fIPB1 / FB) + (fOPB1 / FB)

= =

213.00 MPa 0.25

<

REV'N. :

PREP'D. BY

CHECKED BY :

SGT

BT

AISC-ASD Equation (F1-5) 1.00

AISC-ASD Equation (H2-1)

7.3. Calculate Combined Stress Check at point 2: Bending stress, fIPB2

=

( MIPB / Iy ) ( 0.5 Lm )

=

27.98 MPa

Bending stress, fOPB2

=

( MOPB / Ix ) ( 0.5 tm )

=

0.60 MPa

I.R.2 =

(fa / Fa) + (fIPB2 / FB) + (fOPB2 / FB)

I.R.max

=

=

0.26

max [ I.R.1, I.R.2 ]

=

0.26

AISC-ASD Equation (H2-1) <

1.00

OK

7.4. Calculate Shear Stress in x-direction : 8125.00 mm2

Shear area, Avx

=

tm Lm

=

Shear stress, fvx

=

Px / Avx

=

22.39 MPa

Shear stress allowable, Fv

=

0.40 Fy

=

142.00 MPa

Interaction Ratio, I.R.

=

fvx / Fv

=

0.16

<

AISC-ASD Equation (F4-1) 1.00

OK

7.5. Calculate Shear Stress in y-direction : 6864.00 mm2

Shear area, Avy

=

4 ( ts W s )

=

Shear stress, fvy

=

Py / Avy

=

2.84 MPa

Shear stress allowable, Fv

=

0.40 Fy

=

142.00 MPa

Interaction Ratio, I.R.

=

fvy / Fv

=

0.02

<

AISC-ASD Equation (F4-1) 1.00

OK

1.00

OK

7.6. Calculate Von Mises Stress : fvx2 + fvy2

τxy

=

=

22.57 MPa

σx1

=

fa + fIPB1 + fOPB1

=

52.91 MPa

σx2

=

fa + fIPB2 + fOPB2

=

54.61 MPa

σx

=

max[ σ1,σ2]

=

54.61 MPa

=

0.00 MPa

σy fvm

8.

[σx2

σy2

- σx σy + ( 3

τxy2 )]

=

67.16 MPa

Fvm =

0.66 Fy

=

234.30 MPa

I.R. =

fvm / Fvm

=

=

+

0.29

<

CALCULATE WELD SIZE

Allowable weld stress, FW : FW1 =

0.30 Fu

=

144.79 MPa

AISC-ASD J2.4

FW2 =

0.40 Fy

=

142.00 MPa

AWS D1.1 Table 2.3

FW

min [FW1 , FW2 ]

=

142.00 MPa

=

Filename / Date: Pad Eye - Spreader Bar / 5/30/2009

A

5/30/2009 14:11

CALCULATION SHEET PROJECT :

DATE :

TOTAL E&P INDONESIE EXTENSION PLATFORM INSTALLATION

SUBJECT :

PAD EYE DECK PLTF.

REV'N. :

A

5/30/2009 14:11 PREP'D. BY

CHECKED BY :

SGT

BT

Size of fillet welds, a :

AISC-ASD J2.b

Material Thickness

Min. Weld Size

Max.Weld Size

tp (mm)

amin (mm)

amax (mm)

to 6.35 inclusive

3.18

tp + 1/16 tp

over 6.35 to 12.70

4.76

tp + 1/16 tp

over 12.70 to 19.05

6.35

tp + 1/16 tp

over 19.05

7.94

tp + 1/16 tp

AISC-ASD Table J2.4

Limit of weld size on padeye : tm

=

25.00 mm

amin =

7.94 mm

amax =

26.56 mm

tc

=

16.00 mm

amin =

6.35 mm

amax =

17.00 mm

ts

12.00 mm

=

amin =

4.76 mm

amax =

12.75 mm

Assume : weld size treated as line

8.1. Calculate Weld Size between Main Plate & Cheek Plate :

Aw

=

a

=

( 0.5 ) ( 0.707 ) 2π rc [ Pα / (Aw Fw) ] [tc / (2 tc + tm)]

Provide weld size, a

222.11 mm2/mm

= =

3.83 mm

=

3.83 mm

For Fillet Weld

y 8.2. Calculate Weld Size between Padeye Main Plate with Stiffeners to Base :

Properties of weld section main plate to base b1

=

Lm

=

325.00 mm

d1

=

tm

=

25.00 mm

Am

=

2*0.707*wlm* b1

=

3676.40 mm2

Imx

=

0.707*wlm*b1 d12

=

4

Imy

=

0.707*wlm*b13 / 6

/2

=

b1

574438 mm

32359979 mm4

Weld Section Main Plate to Base

Properties of weld section 2 stiffeners to base

y

b2

=

2 Ls - ts

=

213.00 mm

b3

=

2 Ls + ts

=

237.00 mm

d2

=

2 W s + tm

=

311.00 mm

As

=

4 (d2 - tm)*0.707*wls

=

6470.46 mm2

Isx

=

4 [ 1/12 ( d23 - tm3 ) ]*0.707*wls

=

56681804 mm4

Isy

=

(b22 / 2 ( d2 - tm ) + b32 / 2 ( d2 - tm ))*0.707*wls

=

82124747 mm4

d2

tm

x

b2

Properties of weld section combined main plate & stiffener to base Awz

=

Am + As

=

10146.86 mm2

Iwx

=

Imx + Isx

=

57256241 mm4

Iwy

=

Imy + Isy

=

114484726 mm4

Filename / Date: Pad Eye - Spreader Bar / 5/30/2009

x

d1

b3 Weld Section Stiffeners to Base

CALCULATION SHEET PROJECT :

DATE :

TOTAL E&P INDONESIE EXTENSION PLATFORM INSTALLATION

SUBJECT :

PAD EYE DECK PLTF.

A

REV'N. :

5/30/2009 14:11 PREP'D. BY

CHECKED BY :

SGT

BT

Check stress of welds Shear stress due to Px

fdx =

Px / Awz

=

17.93 N/mm2

Shear stress due to Py

fdy =

Py / Awz

=

1.92 N/mm2

Stresses due to Pz

( Pz / Awz )

=

38.44 N/mm2

Stresses due to MOPB at point 1

MOPB (W s + tm/2)/Iwx

=

7.95 N/mm2

Stresses due to MIPB at point 1

MIPB Ls / Iwy

=

26.81 N/mm2

=

73.20 N/mm2

Stresses due to MOPB at point 2

MOPB ( tm / 2) / Iwx

=

0.64 N/mm2

Stresses due to MIPB at point 2

MIPB (0.5*Lm) / Iwy

=

38.73 N/mm2

=

77.81 N/mm2

=

77.81 N/mm2

=

79.87 N/mm2

=

142.00 N/mm2

fdz1 =

(Pz/Awz) + MOPB (W s + tm / 2) / Iwx + MIPB Ls / Iwy

y

x

2 1

fdz2 =

(Pz/Awz) + MOPB ( tm / 2) / Iwx + MIPB (0.5*Lm) / Iwy

Direct stress, fdz

=

max [ fdz1,fdz2 ]

Combined stress, fcom

=

(fdy2 + fdx2 + fdz2)

Allowable stresses in the weld, Fw

Interaction ratio, I.R.

=

fcom / Fw

=

0.56

<

Stress Check Location

corresponding to point

1.0

OK

8.3. Calculate Weld Size between Stiffener & Main Plate : σx

=

max[ σ1,σ2]

=

F

=

σx W s ts

=

Weld size required, a

=

54.61 MPa 93706.52 N

F / [ 2 Hs (0.707 Fw) ] =

4.06 mm

=

4.76 mm

Weld size of stiffener to main plate, a

Filename / Date: Pad Eye - Spreader Bar / 5/30/2009

OK

2